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2016

On the volume of sets bounded by refinable functions

4 years 3 months ago
On the volume of sets bounded by refinable functions
We present a method for the precise determination of the volume of subsets of Rd which are bounded by a hypersurface parametrized by a set of refinable functions. The derivation is based on the linear refinement equations rather than on closed form expressions of these functions, which may not be available. In particular, our approach makes it possible to compute the area of planar domains bounded by subdivision curves or the volume of spatial domains bounded by subdivision surfaces.
Jan Hakenberg, Ulrich Reif
Added 29 Mar 2016
Updated 29 Mar 2016
Type Journal
Year 2016
Where AMC
Authors Jan Hakenberg, Ulrich Reif
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